Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    GCF of 270 and 180 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 270 and 180?

    Answer

    GCF of 270 and 180 is
    90

    (Ninety)

    Finding GCF for 270 and 180 using all factors (divisors) listing

    The first method to find GCF for numbers 270 and 180 is to list all factors for both numbers and pick the highest common one:

    All factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

    All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

    So the Greatest Common Factor for 270 and 180 is 90

    Finding GCF for 270 and 180 by Prime Factorization

    The second method to find GCF for numbers 270 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 270: 2, 3, 3, 3, 5

    All Prime Factors of 180: 2, 2, 3, 3, 5

    As we can see there are Prime Factors common to both numbers: 2, 3, 3, 5

    Now we need to multiply them to find GCF: 2 × 3 × 3 × 5 = 90

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/270--180Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/270--180">What is the GCF of 270 and 180 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 270 and 180. The GCF of 270 and 180 is 90 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
    https://calculat.io/en/number/greatest-common-factor-of/270--180/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    27016515
    2701662
    2701671
    2701686
    2701691
    27017010
    2701719
    2701722
    2701731
    2701746
    2701755
    2701762
    2701773
    2701782
    2701791
    27018090
    2701811
    2701822
    2701833
    2701842
    2701855
    2701866
    2701871
    2701882
    27018927
    27019010
    2701911
    2701926
    2701931
    2701942

    About "Greatest Common Factor" Calculator

    This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 270 and 180? (The answer is: 90). Select the first number (e.g. '270') and the second number (e.g. '180'). After that hit the 'Calculate' button.
    Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    FAQ

    What is the Greatest Common Divisor of 270 and 180?

    GCF of 270 and 180 is 90

    How to find the GCF of 270 and 180?

    You can find the GCF of 270 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 180 is 90.

    What prime factors do 270 and 180 share?

    The prime factorizations of 270 and 180 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

    How does the GCF reduce the fraction 270/180?

    Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 180 ÷ 90 = 2. So 270/180 in lowest terms is 3/2.

    See Also